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Finding the Fourth Proportional to 592,409.30, 817,523.03 and 320,477.11

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Solution

The fourth proportional to 592,409.30, 817,523.03 and 320,477.11 is: 442,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,409.30 : 817,523.03 = 320,477.11 : x
  2. Step 2: Convert to fraction form
    592,409.30/817,523.03 = 320,477.11/x
  3. Step 3: Cross multiply
    592,409.30x = 817,523.03 × 320,477.11
  4. Step 4: Simplify right side
    592,409.30x = 261,997,414,967.55
  5. Step 5: Solve for x
    x = 261,997,414,967.55/592,409.30
  6. Step 6: Final answer
    x = 442,257.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.